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International Conference on Language and Automata Theory and Applications

LATA 2019: Language and Automata Theory and Applications pp 159–173Cite as

Efficient Symmetry Breaking for SAT-Based Minimum DFA Inference

Part of the Lecture Notes in Computer Science book series (LNTCS,volume 11417)

Abstract

Inference of deterministic finite automata (DFA) finds a wide range of important practical applications. In recent years, the use of SAT and SMT solvers for the minimum size DFA inference problem (MinDFA) enabled significant performance improvements. Nevertheless, there are many problems that are simply too difficult to solve to optimality with existing technologies. One fundamental difficulty of the MinDFA problem is the size of the search space. Moreover, another fundamental drawback of these approaches is the encoding size. This paper develops novel compact encodings for Symmetry Breaking of SAT-based approaches to MinDFA. The proposed encodings are shown to perform comparably in practice with the most efficient, but also significantly larger, symmetry breaking encodings.

Keywords

  • DFA inference
  • Boolean satisfiability
  • Symmetry breaking

IZ was supported by RFBR (project 18-37-00425). AM, AI and JMS were supported by FCT grants ABSOLV (PTDC/CCI-COM/28986/2017), FaultLocker (PTDC/CCI-COM/29300/2017), SAFETY (SFRH/BPD/120315/2016), and SAMPLE (CEECIND/04549/2017). VU was supported by the Government of Russia (Grant 08-08).

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Fig. 1.
Fig. 2.

Notes

  1. 1.

    The encoding size shown is adapted from the results in [20], taking into account that both \(|T^{+}|\) and \(|T^{-}|\) can grow with \(N=|T|\). The size of \(|\varSigma |\) is assumed constant.

  2. 2.

    https://github.com/ctlab/DFA-Inductor.

  3. 3.

    http://www.labri.fr/perso/lsimon/glucose/.

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Author information

Authors and Affiliations

  1. ITMO University, St. Petersburg, Russia

    Ilya Zakirzyanov & Vladimir Ulyantsev

  2. JetBrains Research, St. Petersburg, Russia

    Ilya Zakirzyanov

  3. Faculty of Science, University of Lisbon, Lisbon, Portugal

    Antonio Morgado, Alexey Ignatiev & Joao Marques-Silva

  4. ISDCT SB RAS, Irkutsk, Russia

    Alexey Ignatiev

Authors
  1. Ilya Zakirzyanov
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  2. Antonio Morgado
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  3. Alexey Ignatiev
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  4. Vladimir Ulyantsev
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  5. Joao Marques-Silva
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Corresponding author

Correspondence to Ilya Zakirzyanov .

Editor information

Editors and Affiliations

  1. Rovira i Virgili University, Tarragona, Spain

    Carlos Martín-Vide

  2. Saint Petersburg State University, St. Petersburg, Russia

    Alexander Okhotin

  3. Ariel University, Ariel, Israel

    Dana Shapira

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Zakirzyanov, I., Morgado, A., Ignatiev, A., Ulyantsev, V., Marques-Silva, J. (2019). Efficient Symmetry Breaking for SAT-Based Minimum DFA Inference. In: Martín-Vide, C., Okhotin, A., Shapira, D. (eds) Language and Automata Theory and Applications. LATA 2019. Lecture Notes in Computer Science(), vol 11417. Springer, Cham. https://doi.org/10.1007/978-3-030-13435-8_12

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